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Finding the Fourth Proportional to 212,099.61, 318,132.87 and 123,296.48

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Solution

The fourth proportional to 212,099.61, 318,132.87 and 123,296.48 is: 184,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,099.61 : 318,132.87 = 123,296.48 : x
  2. Step 2: Convert to fraction form
    212,099.61/318,132.87 = 123,296.48/x
  3. Step 3: Cross multiply
    212,099.61x = 318,132.87 × 123,296.48
  4. Step 4: Simplify right side
    212,099.61x = 39,224,663,043.30
  5. Step 5: Solve for x
    x = 39,224,663,043.30/212,099.61
  6. Step 6: Final answer
    x = 184,935.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.